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Arc

In the given ...

Question

In the given circle, chords AB and CD intersect each other at P. CP = (x − 4) cm, DP = (y + 10) cm, AP = (x − 1) cm, and BP = (y + 1) cm.

If x + 2y = 23, then what is the sum of the lengths of chords AB and CD?

30 cm

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32 cm

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34 cm

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36 cm

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Solution

The correct option is D
36 cm

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Similar questions

A B

C D

P

C P = 2

D P = 6

A P = 3

B P

A B

C D

O

P

A P = C P

B P = D P

Chords $A B$ and $C D$ of a circle intersect each other at point $P$ such that $A P = C P$ .

Show that : $A B = C D$ .

A B

C D

P

C P = 4 c m, A P = 8 c m, P B = 2 c m

P D

A P = 12 c m, A B = 15 c m, C P = P D

C D

Δ APC~ Δ DPB

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